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Finding the Fourth Proportional to 10,470.71, 15,699.92 and 4,230.92

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Solution

The fourth proportional to 10,470.71, 15,699.92 and 4,230.92 is: 6,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.71 : 15,699.92 = 4,230.92 : x
  2. Step 2: Convert to fraction form
    10,470.71/15,699.92 = 4,230.92/x
  3. Step 3: Cross multiply
    10,470.71x = 15,699.92 × 4,230.92
  4. Step 4: Simplify right side
    10,470.71x = 66,425,005.87
  5. Step 5: Solve for x
    x = 66,425,005.87/10,470.71
  6. Step 6: Final answer
    x = 6,343.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.